Least Common Multiple of 321/70, 230/84, 918/395

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 321/70, 230/84, 918/395 quickly i.e. 11295990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 321/70, 230/84, 918/395 is 11295990.

LCM(321/70, 230/84, 918/395) = 11295990

LCM of 321/70, 230/84, 918/395

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 321/70,230/84,918/395

Given numbers are 321/70,230/84,918/395

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 321,230,918

Least Common Multiple of Numerators i.e. LCM of 321,230,918 is 11295990.

GCF of Denominators means GCF of 70,84,395 as per the given fractions.

GCF of 70,84,395 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 321,230,918

LCM of Fractions 321/70,230/84,918/395 is 11295990

2 321, 230, 918
3 321, 115, 459
107, 115, 153

∴ So the LCM of the given numbers is 2 x 3 x 107 x 115 x 153 = 11295990

Least Common Multiple of 321,230,918 with GCF Formula

Least Common Multiple of 321,230,918 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 321,230,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(321,230,918) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(321,230,918) x common factors =1 x 6 = 6

LCM(321,230,918) = ( 321 × 230 × 918 ) / 6

LCM(321,230,918) = 67775940 / 6

LCM(321,230,918) = 11295990


Lets's calculate GCF of 70,84,395

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11295990/1

Therefore the LCM of Fractions 321/70,230/84,918/395 is 11295990

Greatest Common Factor of 70,84,395 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,84,395 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 395

List of positive integer factors of 395 that divides 395 without a remainder.

1,5,79,395

Greatest Common Factor

We found the factors 70,84,395 . The biggest common factor number is the GCF number.
So the greatest common factor 70,84,395 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 321/70, 230/84, 918/395

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 321/70, 230/84, 918/395?

Answer: LCM of Numerators as per given numbers 321/70, 230/84, 918/395 is

LCM of Numerators i.e. for 321,230,918 is 11295990

GCF of denominators i.e. for 70,84,395 is 1.

Thus, LCM of Fractions is 11295990.Finally, LCM of Fractions for 321/70, 230/84, 918/395 is 11295990.